Catalogue of Cyclic Polypents

Introduction

A polypent is a figure made of regular pentagons joined edge to edge. A polypent is cyclic if its cells are joined in a closed loop.

Here I show all cyclic polypents with up to 12 cells. I do not distinguish mirror images.

A cyclic polypent must have an even number of cells. This is because successive cells point alternately up and down.

See also Catalogue of Polypents and Catalogue of Cyclic Polyhepts.

Enumeration

CellsPolypents
61
81
105
1213
1484
16462
183341

6 Cells

8 Cells

10 Cells

12 Cells

Last revised 2023-10-24.

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Col. George Sicherman [ HOME | MAIL ]